Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

We study nonlinear measure data elliptic problems involving the operator of generalized
Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural variants of …

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We study the elliptic inclusion given in the following divergence form &-div\, A (x, ∇ u) ∋
f\quad in\quad Ω,\&u= 0\quad on\quad ∂ Ω.-div A (x,∇ u)∋ f in Ω, u= 0 on∂ Ω. As we …

Studying elliptic measure data problem with strongly nonlinear operator whose growth is
described by the means of fully anisotropic N‐function, we prove the uniqueness for a broad …

We provide a short proof of a sharp rearrangement estimate for a generalized version of a
potential of Wolff–Havin–Maz'ya type. As a consequence, we prove a reduction principle for …

We consider a parabolic PDE with Dirichlet boundary condition and monotone operator A
with non-standard growth controlled by an N-function depending on time and spatial …

Controlling the monotonicity and growth of Leray–Lions' operators including the p-Laplacian
plays a fundamental role in the theory of existence and regularity of solutions to second …

Under various conditions on the data we analyze how the appearance of lower order terms
affects the gradient estimates on solutions to a general nonlinear elliptic equation of the form …

We establish a gradient estimate for a very weak solution to a quasilinear elliptic equation
with a nonstandard growth condition, which is a natural generalization of the p-Laplace …